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The buffered chemostat with non-monotonic response functions

Abstract : We show how a particular spatial structure with a buffer globally stabilizes the chemostat dynamics with non-monotonic response function, while this is not possible with single, serial or parallel chemostats of the same total volume and input flow. We give a characterization of the set of such configurations that satisfy this property, as well as the configuration that ensures the best nutrient conversion. Furthermore, we characterize the minimal buffer volume to be added to a single chemostat for obtaining the global stability. These results are illustrated with the Haldane kinetic function.
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Contributor : Alain Rapaport <>
Submitted on : Monday, December 17, 2012 - 9:58:18 PM
Last modification on : Tuesday, February 9, 2021 - 3:20:09 PM
Long-term archiving on: : Sunday, December 18, 2016 - 3:46:07 AM


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  • HAL Id : hal-00766243, version 1
  • ARXIV : 1212.4252


Alain Rapaport, Ihab Haidar, Jérôme Harmand. The buffered chemostat with non-monotonic response functions. 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2013), Sep 2013, Toulouse, France. Paper WeB2.6. ⟨hal-00766243v1⟩



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